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Simplifying (y + 3)(2y + 5) = 0 Reorder the terms: (3 + y)(2y + 5) = 0 Reorder the terms: (3 + y)(5 + 2y) = 0 Multiply (3 + y) * (5 + 2y) (3(5 + 2y) + y(5 + 2y)) = 0 ((5 * 3 + 2y * 3) + y(5 + 2y)) = 0 ((15 + 6y) + y(5 + 2y)) = 0 (15 + 6y + (5 * y + 2y * y)) = 0 (15 + 6y + (5y + 2y2)) = 0 Combine like terms: 6y + 5y = 11y (15 + 11y + 2y2) = 0 Solving 15 + 11y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (3 + y)(5 + 2y) = 0Subproblem 1
Set the factor '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3Subproblem 2
Set the factor '(5 + 2y)' equal to zero and attempt to solve: Simplifying 5 + 2y = 0 Solving 5 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2y = 0 + -5 2y = 0 + -5 Combine like terms: 0 + -5 = -5 2y = -5 Divide each side by '2'. y = -2.5 Simplifying y = -2.5Solution
y = {-3, -2.5}
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